10544020240 has 160 divisors (see below), whose sum is σ = 27392684256. Its totient is φ = 3749068800.

The previous prime is 10544020237. The next prime is 10544020243. The reversal of 10544020240 is 4202044501.

It is a happy number.

10544020240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10544020237) and next prime (10544020243).

It can be written as a sum of positive squares in 16 ways, for example, as 402724624 + 10141295616 = 20068^2 + 100704^2 .

It is a super-2 number, since 2×10544020240² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10544020243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3885124 + ... + 3887836.

Almost surely, 2^10544020240 is an apocalyptic number.

10544020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696342128).

10544020240 is an abundant number, since it is smaller than the sum of its proper divisors (16848664016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10544020240 is a wasteful number, since it uses less digits than its factorization.

10544020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10544020240 its reverse (4202044501), we get a palindrome (14746064741).

The spelling of 10544020240 in words is "ten billion, five hundred forty-four million, twenty thousand, two hundred forty".